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Finding the Fourth Proportional to 2,448.64, 3,673.14 and 717.25

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Solution

The fourth proportional to 2,448.64, 3,673.14 and 717.25 is: 1,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.64 : 3,673.14 = 717.25 : x
  2. Step 2: Convert to fraction form
    2,448.64/3,673.14 = 717.25/x
  3. Step 3: Cross multiply
    2,448.64x = 3,673.14 × 717.25
  4. Step 4: Simplify right side
    2,448.64x = 2,634,559.67
  5. Step 5: Solve for x
    x = 2,634,559.67/2,448.64
  6. Step 6: Final answer
    x = 1,075.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.